GCD of 146, 900, 27, 750 Calculator

Given Input numbers are 146, 900, 27, 750

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 146

List of positive integer divisors of 146 that divides 146 without a remainder.

1, 2, 73, 146

Divisors of 900

List of positive integer divisors of 900 that divides 900 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 27

List of positive integer divisors of 27 that divides 27 without a remainder.

1, 3, 9, 27

Divisors of 750

List of positive integer divisors of 750 that divides 750 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

Greatest Common Divisior

We found the divisors of 146, 900, 27, 750 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 146, 900, 27, 750 is 1.

Therefore, GCD of numbers 146, 900, 27, 750 is 1

Given Input Data is 146, 900, 27, 750

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 146 is 2 x 73

Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5

Prime Factorization of 27 is 3 x 3 x 3

Prime Factorization of 750 is 2 x 3 x 5 x 5 x 5

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(146, 900) = 65700

GCD(146, 900) = ( 146 x 900 ) / 65700

GCD(146, 900) = 131400 / 65700

GCD(146, 900) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 27

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 27) = 54

GCD(2, 27) = ( 2 x 27 ) / 54

GCD(2, 27) = 54 / 54

GCD(2, 27) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 750

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 750) = 750

GCD(1, 750) = ( 1 x 750 ) / 750

GCD(1, 750) = 750 / 750

GCD(1, 750) = 1

GCD of 146, 900, 27, 750 is 1

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• GCD of 637, 853, 86, 827
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• GCD of 993, 195, 71, 922

1. What is the GCD of 146, 900, 27, 750?

GCD of 146, 900, 27, 750 is 1

2. Where do I get the detailed procedure to find GCD of 146, 900, 27, 750?

You can find a detailed procedure to find GCD of 146, 900, 27, 750 on our page.

3. How to find GCD of 146, 900, 27, 750 on a calculator?

You can find the GCD of 146, 900, 27, 750 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.